arXiv:math/0105172 Abstract

arXiv:math/0105172 [math.NT]Abstract References Reviews Resources

A New Bound for Kloosterman Sums

Published 2001-05-22, updated 2001-06-21Version 3

We give generating functions for Gauss sums for finite general linear and unitary groups. For the general linear case only our method of proof is new, but we deduce a bound on Kloosterman sums which is sometimes sharper than Deligne's bound from algebraic geometry.

Comments: We add a remark on Fourier analysis and make minor revisions

Categories: math.NT, math.AG

Keywords: kloosterman sums, finite general linear, general linear case, gauss sums, unitary groups

Related articles: Most relevant | Search more

arXiv:2406.10106 [math.NT] (Published 2024-06-14)

Equidistribution of Kloosterman sums over function fields

Lei Fu, Yuk-Kam Lau, Wen-Ching Winnie Li, Ping Xi

arXiv:2207.12439 [math.NT] (Published 2022-07-25)

Equidistribution and independence of Gauss sums

Antonio Rojas-León

arXiv:1306.4104 [math.NT] (Published 2013-06-18, updated 2016-02-19)

Power moments of Kloosterman sums